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Finding the Fourth Proportional to 12,580.42, 17,359.66 and 7,274.21

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Solution

The fourth proportional to 12,580.42, 17,359.66 and 7,274.21 is: 10,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.42 : 17,359.66 = 7,274.21 : x
  2. Step 2: Convert to fraction form
    12,580.42/17,359.66 = 7,274.21/x
  3. Step 3: Cross multiply
    12,580.42x = 17,359.66 × 7,274.21
  4. Step 4: Simplify right side
    12,580.42x = 126,277,783.49
  5. Step 5: Solve for x
    x = 126,277,783.49/12,580.42
  6. Step 6: Final answer
    x = 10,037.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.